The fifteen theorem for universal Hermitian lattices over imaginary quadratic fields

DOI10.1090/S0025-5718-09-02287-XzbMath1216.11046arXiv0710.4991OpenAlexW2037944303MaRDI QIDQ3584822

Byeong Moon Kim, Poo-Sung Park, Ji Young Kim

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.4991

zbMATH Keywords

universal Hermitian form

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Bilinear and Hermitian forms (11E39) Class numbers of quadratic and Hermitian forms (11E41)

Related Items

\(g\)-invariant on unary Hermitian lattices over imaginary quadratic fields with class number 2 or 3, The Kloosterman problem for binary Hermitian lattices, Complete classification of binary normal regular Hermitian lattices, 2-universal Hermitian lattices over imaginary quadratic fields, 1-universal binary and ternary Hermitian lattices over imaginary quadratic fields, Even universal binary Hermitian lattices over imaginary quadratic fields

Cites Work

• Finiteness of real quadratic fields which admit positive integral diagonal septanary universal forms
• Universal octonary diagonal forms over some real quadratic fields.
• Über die Darstellung total positiver Zahlen des Körpers \(R(\sqrt 5)\) als Summe von drei Quadraten. (On the representation od totally positive numbers of the field \(R(\sqrt 5)\) as a sum of three squares)
• A few uncaught universal Hermitian forms
• Universal binary Hermitian forms
• A finiteness theorem for representability of quadratic forms by forms
• A note on hermitian forms
• Determination of all classes of positive quaternary quadratic forms which represent all (positive) integers
• Universal binary positive definite Hermitian lattices
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